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Comprehensive Income (Reclassification out of other comprehensive income) (Details) - USD ($)
$ in Millions
3 Months Ended
Oct. 29, 2016
Oct. 24, 2015
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Total amounts reclassified out of AOCI $ 3 $ (5)
Cumulative translation adjustment and actuarial gains and losses    
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
(Gains) losses reclassified out of AOCI 0 (1)
Reclassification out of Accumulated Other Comprehensive Income | Net unrealized gains and losses on available-for-sale investments    
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Other income (loss), net 15 (1)
Reclassification out of Accumulated Other Comprehensive Income | Net unrealized gains and losses on cash flow hedging instruments | Cash Flow Hedging    
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Operating expenses (9) (2)
Cost of sales—service (3) (1)
Net unrealized gains and losses on cash flow hedging instruments $ (12) $ (3)